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math.AC2021
A characterization of finite factorization positive monoids
Harold Polo
We provide a characterization of the positive monoids (i.e., additive submonoids of the nonnegative real numbers) that satisfy the finite factorization property. As a result, we es…
math.AC2021
On the factorization invariants of the additive structure of exponential Puiseux semirings
Harold Polo
Exponential Puiseux semirings are additive submonoids of $\qq_{\geq 0}$ generated by almost all of the nonnegative powers of a positive rational number, and they are natural genera…